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Day 400: JEE Mains Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Quadratic Equations. Asked once: 15 Apr 2023 (same type asked 10 times) See all 10 of this type

    67
    The number of real roots of the equation x∣x∣−5∣x+2∣+6=0x|x| - 5|x + 2| + 6 = 0, is

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  2. Question 2

    Vector Algebra. Asked once: 2021 Paper 17 (same type asked 10 times) See all 10 of this type

    78
    Let a→,b→\overrightarrow{a},\overrightarrow{b} and c→\overrightarrow{c} be three vectors such that a→=b→×(b→×c→)\overrightarrow{a}=\overrightarrow{b}\times (\overrightarrow{b}\times\overrightarrow{c}). If magnitudes of the vectors a→,b→\overrightarrow{a},\overrightarrow{b} and c→\overrightarrow{c} are 2,1\sqrt{2},1 and 2 respectively and the angle between b→\overrightarrow{b} and c→\overrightarrow{c} is θ(0<θ<π2)\theta\left( 0 <\theta<\frac{\pi}{2} \right), then the value of 1+tan⁡θ1 + \tan\theta is equal to :

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  3. Question 3

    Sequences and Series. Asked once: 26 Jun 2022 (same type asked 10 times) See all 10 of this type

    176
    If a1(>0),a2,a3,a4,a5a_{1}( > 0),a_{2},a_{3},a_{4},a_{5} are in a G.P., a2+a4=2a3+1a_{2}+a_{4}= 2a_{3}+ 1 and 3a2+a3=2a43a_{2}+a_{3}= 2a_{4}, then a2+a4+2a5a_{2}+a_{4}+ 2a_{5} is equal to

  4. Question 4

    Matrices. Asked once: 2021 Paper 17 (same type asked 9 times) See all 9 of this type

    90
    If A=[111011001]A=\begin{bmatrix} 1 & 1 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix} and M=A+A2+A3+…..+A20M=A+A^{2}+A^{3}+ \ldots.. +A^{20}, then the sum of all the elements of the matrix MM is equal to

  5. Question 5

    Application of Integrals. Asked once: 2021 Paper 2 (same type asked 9 times) See all 9 of this type

    79
    The area of the region: R={(x,y):5x2≤y≤2x2+9}R=\left\{ (x,y):5x^{2}\leq y\leq 2x^{2}+ 9 \right\} is:

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